Which ordered pair is a solution of 5x + 4y = 18?
O (-3,6)
O (2,4)
O (8,2)
O (-2,7)

Answers

Answer 1

Answer:

(-2,7)

Step-by-step explanation:

Remember: (x, y), Substitute the numbers:

1. (-3, 6)

5 • -3 + 4 • 6 = 18

-15 + 24 = 18

9 = 18 X, incorrect

2. (2, 4)

5 • 2 + 4 • 4 = 18

10 + 16 = 18

26 = 18 X, incorrect

3. (8, 2)

5 • 8 + 4 • 2 = 18

40 + 8 = 18

48 = 18 X, incorrect

4. (-2, 7)

5 • -2 + 4 • 7 = 18

-10 + 28 = 18

18 = 18, , correct!


Related Questions

need help really please​

Answers

C and D because of the hundredths and thousandths place

Answer:

B, D

Step-by-step explanation:

What is the result when the number 48 is decreased by 89%?

Answers

Answer:

42.72

Step-by-step explanation:

Answer:

5.28

Step-by-step explanation:

100%-89%=11%

48x11%=5.28

Point Z is the incenter of ΔSRT.

Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A Z R is 35 degrees. Angle Z R C is 35 degrees. Angle B S Z is 24 degrees. Angle Z S A is 24 degrees.
What is mAngleZTB?

24°
31°
35°
62°

Point H is the center of the circle that passes through points D, E, and F.
Point H is the center of the circle that passes through points L, M, and N.
Line segment H E is-congruent-to line segment H D
Line segment L H is-congruent-to line segment N H
Line segment F L is-congruent-to line segment F N

Answers

Answer:

The answer is 31

Step-by-step explanation:

ZTB= 31

The measure of angle ∠ZTB of triangle SRT is 31°.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

Let S R T be a triangle, and point Z is the in center of triangle S R T.

Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C as shown in the below figure.

Here, ∠ AZR = 35°, ∠ZRC = 35°, ∠ BSZ = 24°, ∠ZSA = 24°, ∠ZTB = ?

The in center of a triangle is the intersection point of all the three interior angle bisectors of the triangle. It can be defined as the point where the internal angle bisectors of the triangle cross.

According to the angle bisector theorem,

⇒ [tex]\angle ZRC = \angle ARZ[/tex]

⇒ [tex]\angle ARZ = 35\degree[/tex]

Let the unknown angle, ∠ZTB be x. Then ∠BTC = 2x

The sum of the interior angles of a triangle is equal to 180°,

So, [tex]24+24+35+35+2x=180[/tex]

⇒ [tex]118+2x=180[/tex]

⇒ [tex]2x=180-118[/tex]

⇒ [tex]x=\frac{62}{2}[/tex]

⇒ [tex]x=31[/tex]

Hence we can conclude that the measure of angle ∠ZTB of triangle SRT is 31°.

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The Value of 1/2 + 3/5

Answers

Answer: 1 1/10 or 11/10

Step-by-step explanation: 1/2 x 5/5 = 5/10 and 3/5 x 2/2 = 6/10 so 5/10 + 6/10 = 11/10.

2.891 value of the 1

Answers

Answer:

The Thousandths Place.

Step-by-step explanation:

The 1 in 2.891 is in the thousandths place value.

2 (ones place value)

.

8 (tenths place value)

9 (hundredths place value)

1 (thousandths place value).

~

PLEASE ANSWER ASAP!!!

what is the value of 4^2/2? describe the steps you took to find your answer.

Answers

Answer:

8

Step-by-step explanation:

1.
The distribution of the number of transactions per day at a certain automated teller machine (ATM) is
approximately normal with a mean of 80 transactions and a standard deviation of 10 transactions. Which of
the following represents the parameters of the distribution?
ī=80; s = 10
B
I = 80; 92 = 10
I = 80; o = 10
D x = 80; o = 10
Ei=80; 8 = 10

Answers

Answer:

ī=80; s = 10

Step-by-step explanation:

When the standard deviation is from a finite group it is denoted by s. The number of transactions from an atm are countable in a day. So the standard deviation will be represented by s.

and ī represents the mean.

The other choices are incorrect because mean is usually represented by a bar over the alphabet such as x.

a simple alphabet does not denote the mean of the sample or population.

Parameters are the characteristics used to define a dataset.

The representation of the parameters are: [tex]\bar x = 80[/tex] and  [tex]s = 10[/tex]

From the question, we have:

[tex]Mean = 80[/tex]

[tex]Standard\ Deviation = 10[/tex]

Mean is represented as: [tex]\bar x[/tex]

So, we have:

[tex]\bar x = 80[/tex]

Standard deviation is represented as [tex]\sigma[/tex] of s.

So, we have:

[tex]s = 10[/tex]

Hence, the representation of the parameters are:

[tex]\bar x = 80[/tex] and  [tex]s = 10[/tex]

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The illinoian stage began about 300,000 years ago. The wallstonian began about 352,000 years ago. Compare 300,000 to 352,000

Answers

Answer:

 300,000 is less than 352,000

Step-by-step explanation:

which one of them has no solution

Answers

B and d because they cancel out x
Hope this helps

How many solutions does the following equation have? -253-1 +352 = 10x + 1​

Answers

Answer:

there's only one solution for the x value

Step-by-step explanation:

-253-1+352=10x+1

99=10x

99/10=x

9,9 = x

Finding the Slope of a Line Given a Table
Try it
Find the slope of the line that passes through the points
shown in the table.
The slope of the line that passes through the points in
the table is
2
y
-14
8
-7
6
0
4
7
2
14
0
Intro
Done

Answers

Answer-

The slope of the line that passes through the points is

Solution-

As there is a single line passing through all these points, so taking any two points and then applying the formula for slope will give the slope of the line.

The points are,

(-14, 8), (-7, 6), (0, 4), (7, 2), (14, 0)

Taking two points as, (0, 4), (7, 2)

x₁ = 0

y₁ = 4

x₂ = 7

y₂ = 2

Putting the values,

Therefore, the slope of the line that passes through the points is

Step-by-step explanation:

The slope of the line that passes through the points in the table is -2/7.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given a table which shows the points on the line.

Slope of a line passing through two points (x, y) and (x', y') is,

Slope = (y' - y) / (x' - x)

Take any two points on the line.

(0, 4) and (7, 2).

Slope = (2 - 4) / (7 - 0) = -2/7

Hence the slope of the line is -2/7.

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Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate are as follows, 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6.
Assume this sample data follows a normal distribution.
A) Assume that the true standard deviation of the rainfall is σ = 4. Can you support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet? Use ???? = 0.01.
B) Check that rainfall is normally distributed.
C) Compute the power of the test if the true mean rainfall is 27 acre-feet.
D) What sample size would be required to detect a true mean rainfall of 27.5 acre-feet if we wanted the power of the test to be at least 0.9?
E) Explain how the question in part (a) could be answered by constructing a one-sided confidence bound on the mean diameter.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

X : 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7,31.6

True standard deviation (σ) = 4

α = 0.01

Mean (m) of the data:

Σ(X) /n = 520.7/20

m = 26.035 = 26.04

Uaing calculator :

Sample standard deviation (s) = 4.785

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

Test statistic (t) : (m - μ) / (s/√n)

t = (26.04 - 25) / (4.785/√20)

t = 0.972

We can obtain the p value using the pvalue from t score calculator :

df = n - 1 = 20 - 1 = 19

Decision:

If p < 0.01 ; reject null

p(0.972, 19) = 0.1716

Since p > 0.1716 ; we fail to reject the Null

Send help please help :D

Answers

Answer:

A) Slope =

[tex]m = \frac{1}{4} x[/tex]

explanation:

Take 2 random points off the line, I used (4,1) & (8,2)

The formula to find the slope when given 2 points is

[tex]m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]

so in this case x1 & y1 are assigned to (4,1)

4 = x11 = y1

and x2 & y2 are assigned to (8,2)

8 = x22 = y2

so substitute the numbers into the formula and solve !

[tex] m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} [/tex]

this will result in the answer I got above!!

B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals

C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!

what are all the numbers of the square root of pie?
PLZ ANSWER QUICKLY I WILL GIVE 80 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

3.1415926535897932384626433832795. But it's approximately 1.77

The length of a rectangle is 4 times it’s width.write three different expressions to describe its perimeter

Answers

I think it would be 5 I’m not sure if I’m right but sorry if I’m not

Solve 8|x+2|−6=5|x+2|+3.

Answers

I solved for x and I got 1/3, and -1/13

PLEASE HELPP
Solve the following equation:
1/3(y-2) - 5/6(y+1) = 3/4 (y-3) - 2
1. 11/5
2. -11/ 5
3. 53/15

Answers

The answer is 11/5 because when you add that up that’s what you get. #2

Answer:

1. 11/5

Step-by-step explanation:

Solving in steps:

1/3(y-2) - 5/6(y+1) = 3/4 (y-3) - 21/3y - 2/3 - 5/6y - 5/6 = 3/4y - 9/4 - 21/3y -5/6y - 3/4y = 2/3 + 5/6 - 9/4 - 21/12y(4 - 10 - 9) = 1/12(8 + 10 - 27 - 24)y*(-15) = - 3315y = 33y = 33/15y = 11/5

Correct option is 1.

The phrase absolute magnitude refers to the
A)
perceived color of a star.
3
)
exact distance from Earth.
C)
amount of light given off by a star.
D
amount of light received on Earth from any stan
ding

Answers

the answer should be D

1/3 to 2/3 percent change

Answers

Answer:

33.33% Change

Step-by-step explanation:

Suppose f(x)= −2x^2+10x−2
Compute the following:
A.) f(−4) +f(3)=

Answers

Answer:

Meu pênis, nha... Vai comer um sanduiche

Step-by-step explanation:

Sei lá cara, matematica não é comigo

f(-4) + f(3) = -f
I hope this helps and if it doesn’t then sorry

A baby blue whale can gain up to 200 pounds a day after it is born. If a baby blue whale has gained 7 x 103 pounds since its birth, how many days old is it?Express your answer
in standard notation.

Answers

Answer:

35 days

Step-by-step explanation:

Weight gain per day = 200 pounds

Weight gained by a whale since birth = [tex] 7*10^3 [/tex] pounds

Number of days of the whale = [tex] \frac{7*10^3}{200} = \frac{7*10*10*10}{200} [/tex]

[tex] = \frac{7*1000}{200} = \frac{7000}{200} = \frac{70}{2} = 35 [/tex]

In standard notation form, the whale is 35 days old.

Which value of q makes -15 - (-9) = q a true sentence? *

Answers

Answer:-24

-15-(-9)

sove -15+(-9)

Step-by-step explanation:

Answer:

The answer is -6

Step-by-step explanation:

Do -15+9 since a negative and a negative equals a positive

and you get -6  

Enter an equation to represent the relationship. Then solve the equation. Let x represent a number.
A number decreased by 32 is the same as 33 minus 4 times the number.

1. The equation is...
2. x =

Answers

Answer:

x = 13

Step-by-step explanation:

x represent a number

Decrease means subtract

x-32

Is means equals

x-32 =

33 minus 4 times the number

33 - 4x

x-32 =33 - 4x

Add 4x to each side

x -32+4x = 33-4x+4x

5x -32 = 33

Add 32 to each side

5x-32+32 =33+32

5x = 65

Divide by 5

5x/5 = 65/6

x = 13

Hadley is driving to Colorado. she has been traveling for 4 hours, and she driven 260 miles. find her speed in miles per hours.​

Answers

65 m/h

The formula we use for speed is Distance ÷ Time so, 260 miles ÷ 4 hours = 65 miles per hour.

The graph represents the balance on Harrison’s car loan in the months since purchasing the car.

A coordinate plane showing Car Loan Payments. The x-axis shows Months since Purchase and the y-axis shows Loan Balance in dollars. There is a straight line that starts at (0, 7,000) and passes through (2, 6,500), (4, 6,000), and (26, 500).
Which statement describes the slope of the line?

The loan balance decreases $500 per month.
Harrison makes a monthly payment of $250.
The loan balance increases $250 per month.
Harrison increases his monthly payment by $500 each month.

Answers

Answer:

Step-by-step explanation:

I think it's the loan balances decreases $500 per month because every month it starts decreasing down by 500

Answer:

Answer is B

Step-by-step explanation:

Label the endpoints to round 49.672 to the nearest hundredth

Answers

Answer: 49.6

Thanks for using Brainly! You or your parents Vote Biden 2020.

Hope we influence your vote!

What does interpret mean in algebra

Answers

Answer:

Giving a value

Step-by-step explanation:

The value itself is called an interpretation of the corresponding expression.

Shannon was born on 12/21/1982. How many eight-digit codes could she make using the digits in her birthday?

Answers

Answer:

The value is  [tex]Z = 1120 \  eight -digit \ code [/tex]  

Step-by-step explanation:

From the question we are told that

    The birth date of  Shannon is  12/21/1982

 Generally the number of digits present in her birth date is N = 8

  Looking at the date we can see that  1 repeated  3 times

                                                                2 repeated 3 times

 Generally the total number eight -digit code that she could make using her birthday given  the total  number of digits that make up her birth date is N = 8

is mathematically represented as

            K =  8!

but but given that  digit 1 repeated itself 3 times , and 2 repeated itself 3 times then the total number of eight -digit code that she could make using her birthday will be mathematically evaluated as

            [tex]Z =  \frac{K}{3 ! *  3!}[/tex]

=>         [tex]Z =  \frac{8!}{3 ! *  3!}[/tex]

=>       [tex]Z =  \frac{8*  7*6*5* 4 * 3!}{3 ! *  3* 2*1 }[/tex]    

=>         [tex]Z = 1120 \  eight -digit \ code [/tex]  

                                                             

Shannon could make 40,320 eight-digit codes using her digits in her birthday.

Given that Shannon was born on 12/21/1982, to determine how many eight-digit codes could she make using the digits in her birthday, the following calculation must be performed:

8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = X 56 x 30 x 12 x 2 = X 1680 x 24 = X 40320 = X

Therefore, Shannon could make 40,320 eight-digit codes using her digits in her birthday.

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Suppose tan(b) = -2, and the terminal side of b is located in quadrant II. What is cot(b)?

Answers

Suppose tan(b) = -2, and the terminal side of b is located in quadrant II, then  cot(b) = -1/2

Note that:

tan(b) =  Opposite/Adjacent

Comparing the above relationship with tan(b) = -2/1:

Opposite = -2

Adjacent = 1

Also note that:

cot(b) = 1/tan(b)

cot(b) = Adjacent/Opposite

Substitute opposite = -2 and adjacent = 1 into the expression for cot(b)

cot(b) = -1/2

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Round 65.177 to the nearest tenth

Answers

Answer:

65.18

Step-by-step explanation:

7 is higher than 5 so you round the first 7 up to 8

65.2 would be rounded to the nearest tenth
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